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Fractals and Chaos in Geology and Geophysics [Hardcover]

Donald L. Turcotte
5.0 out of 5 stars  See all reviews (2 customer reviews)


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Hardcover, July 13, 1997 --  
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Book Description

July 13, 1997 0521561647 978-0521561648 2
Now in a greatly expanded second edition, this book relates fractals and chaos to a variety of geological and geophysical applications and introduces the fundamental concepts of fractal geometry and chaotic dynamics. In this new edition, Turcotte expands coverage of self-organized criticality and includes statistics and time series to provide a broad background for the reader. Topics include drainage networks and erosion, floods, earthquakes, mineral and petroleum resources, fragmentation, mantle convection, and magnetic field generation. The author introduces all concepts at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics. He includes problems for the reader to solve. This book will appeal to a broad range of readers interested in complex natural phenomena.

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Editorial Reviews

Review

"I enjoy this book very much and frankly recommend it...The comprehensible manner of the explanation and though-provoking, interesting examples of the applications of the Fractals and Chaos in Geology and Geophysics offer not only the knowledge but also the intuitive understanding of the field." Zofia Mortimer, Pure Applied Geophysics

"...a splendid job of presenting current streams of thought on the characterization of complexity in nature..." James R. Rice, PAGEOPH

"...this is an excellent book and can be used as an advanced undergraduate and/or graduate level textbook. This is also an excellent reference for established geologists and geophysicists who wnat to learn about fractals and chaos." Wooil M. Moon, The Leading Edge

"In a grealty expanded second edition, this very well presented book relates fractals and chaos to a variety of geological and geophysical applications...." Radyadour Kh. Zeytounian, Mathematical Reviews

Book Description

The fundamental concepts of fractal geometry and chaotic dynamics, along with the related concepts of multifractals, self-similar time series, wavelets, and self-organized criticality, are introduced in this book, for a broad range of readers interested in complex natural phenomena. Now in a greatly expanded, second edition, this book relates fractals and chaos to a variety of geological and geophysical applications. All concepts are introduced at the lowest possible level of mathematics consistent with their understanding, so that the reader requires only a background in basic physics and mathematics.

Product Details

  • Hardcover: 412 pages
  • Publisher: Cambridge University Press; 2 edition (July 13, 1997)
  • Language: English
  • ISBN-10: 0521561647
  • ISBN-13: 978-0521561648
  • Product Dimensions: 10 x 8 x 1 inches
  • Shipping Weight: 2.4 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #13,384,822 in Books (See Top 100 in Books)

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11 of 11 people found the following review helpful
5.0 out of 5 stars Superb application and explanation of chaos and fractals February 13, 1999
By A Customer
Format:Paperback
Dr. Turcotte explains and applies fractals to a wide variety of geological and geophysical phenomena. The writing is accessible to any educated reader who is willing to follow the mathematics. I have found it very useful in applying fractals and chaos to my own fields of study. The second edition is a great improvement over the first: it is much expanded and clearer and begins at a more basic level. The book conveys a lapidary concision of thought that is impressive even in a pure theoretical scientist. Dr. Turcotte is to be congratulated in this important contribution, which is so very useful to scientists in other fields.
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6 of 13 people found the following review helpful
5.0 out of 5 stars Un libre excelente, an excellent book! November 9, 1999
By A Customer
Format:Paperback
El Profesor Donald Turcotte desde principios de los 80 ha venido trabajando en el modelamiento de problemas geológicos con fractales y caos, y su libro es una de las mejores introducciones al tema. Desde su Capítulo 1 se ve claramente el estilo concreto y práctico que lo caracteriza, y la manera como introduce el concepto de la dimensión fractal por medio de ejemplos sencillos es sin duda invaluable. El capítulo de fragmentación presenta algunos modelos interesantes de este complejo fenómeno, y los ejercicios son muy ilustrativos al respecto. El capítulo de sismicidad y tectónica presenta algunos de los más importantes resultados en la caracterización de fallas y terremotos, aunque se queda un poco corto en los avances recientes a nivel de evolución de sistemas de fallamiento. El capítulo de relación entre el tenor y el tonelaje para yacimientos minerales aún tiene su vigencia dado lo poco que se ha realizado en este campo. Su relación con los procesos magmáticos de diferenciación es muy interesante y se puede realizar mucha investigación al respecto. Su capítulo de Geomorfología presente avances interesante como el concepto de ordenamiento de tokunaga, pero también se queda un poco corto en los recientes avances en este campo. El capítulo de fractales auto-afines es una de las mejores introducciones a esta temática. El autor explica de manera clara algunos conceptos importantes como el exponente de Hurst, movimiento fraccionado browniano y cálculo de dimensiones fractales con transformada de fourier, además de introducir algunos conceptos de procesos estocásticos. Read more ›
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